Numerical Functional Analysis and Optimization
A New Concept of the Analytic Operator-Valued Feynman Integral on Wiener Space
Seung Jun Chang, David Skoug, Hyun Soo Chung
Abstract
In this article we introduce a new concept of an analytic operator-valued Feynman integral for functionals on Wiener space, which we then use to explain various physical phenomena. We then establish the existence of some analytic operator-valued Feynman integrals that prove useful in establishing various applications in quantum mechanics.